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Finding the Fourth Proportional to 10,930.10, 15,090.42 and 7,571.70

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Solution

The fourth proportional to 10,930.10, 15,090.42 and 7,571.70 is: 10,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.10 : 15,090.42 = 7,571.70 : x
  2. Step 2: Convert to fraction form
    10,930.10/15,090.42 = 7,571.70/x
  3. Step 3: Cross multiply
    10,930.10x = 15,090.42 × 7,571.70
  4. Step 4: Simplify right side
    10,930.10x = 114,260,133.11
  5. Step 5: Solve for x
    x = 114,260,133.11/10,930.10
  6. Step 6: Final answer
    x = 10,453.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.